Information on Result #1318052
Linear OA(898, 112, F8, 69) (dual of [112, 14, 70]-code), using construction X with Varšamov bound based on
- linear OA(895, 108, F8, 69) (dual of [108, 13, 70]-code), using
- discarding factors / shortening the dual code based on linear OA(895, 109, F8, 69) (dual of [109, 14, 70]-code), using
- 10 times truncation [i] based on linear OA(8105, 119, F8, 79) (dual of [119, 14, 80]-code), using
- discarding factors / shortening the dual code based on linear OA(895, 109, F8, 69) (dual of [109, 14, 70]-code), using
- linear OA(895, 109, F8, 66) (dual of [109, 14, 67]-code), using Gilbert–Varšamov bound and bm = 895 > Vbs−1(k−1) = 28 696017 830282 334594 594374 217224 306469 540728 045351 587105 898621 237386 182782 685895 440323 [i]
- linear OA(82, 3, F8, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,8)), using
- dual of repetition code with length 3 [i]
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(899, 114, F8, 69) (dual of [114, 15, 70]-code) | [i] | Construction X with Varšamov Bound | |